2(x+y) = 61-2y
4x-4 = 18-3y

x = 8

y = -7

Step-by-step explanation:

This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11(1)3y−5x=−61(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11)(1)-3y-4x=-11(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)(2)-3y+5x=61(4)Step 4-3y-4x=-11(3)-3y+5x=61(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively